12. A jet stream can move a particle of air
11 miles in 5 minutes. At this rate, how far
will the particle move in 1 hour?
(5 minutes = 1 hour) (Example 1)

Answer:

B

Step-by-step explanation:

Rearrange the equation making x the subject

y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )

2y = x - 3 ( add 3 to both sides )

2y + 3 = x

Change y back into terms of x with x being the inverse function, that is

y = 2x + 3 → B

Answer:

All are rational.

Step-by-step explanation:

1)

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

2)

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

3)

2*√16/√4

=2*4/2

=4

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

Answer:

how to convert

Step-by-step explanation:

To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have. This method works for all mixed numbers

Answer:

Change the whole numbers

Step-by-step explanation:

For example

5 3/6

A whole number written as a fraction for this problem is 6/6.

If the problem was 7 4/9, it would 9/9

I'd the problem was 2 3/4, it would be 4/4.

So basically a whole number written as a fraction is when both the top and bottom number are the same. when divide by each other they equal one. 6 divided by 6 is 1, 9 divided by 9 is 1, 4 divide by 4 is 1.

First

Turn 5 3/6 into 5/1 + 3/6

Now add them to together

To add fractions together they have to have the same denominator or bottom number.

What is a number 1 and 6 have in common ?

6 because 1 can be multiplied with any number but 6 can never be multiplied to create 1.

5 is simple 5 whole numbers

so 5/1 × 6/6= 30/6

30/6 + 3/6 = 33/6

now it's an improper faction. There is no whole number, it been converted into a fraction where the top is bigger than the bottom hence why it is improper

Answer:

2.99 meters

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

The mean number of 5 nights is 90. It means that the quantity of guests who came these nights is 90*5=450

The mean number of the six nights is 91. So the quantity of guests is 6*91=546

546-450= 96- the quantity of guests that came on the extra night

Answer:

Range is (0, -5)

Step-by-step explanation:

[tex]{ \sf{f(x) = - {x}^{2} - 5}}[/tex]

when x is 0:

[tex]{ \sf{f(0) = - 5}}[/tex]

Answer:

dccxxydffffyyyrtttttttyhg

Answer:

50¢

Step-by-step explanation:

$18.00=1800.

3*12=36

1800/36=50

Answer:

Step-by-step explanation:

the price of per inch is $2

Answer:

27 + 7m

Step-by-step explanation:

[tex]7(5 + m) - 8[/tex]

open the bracket:

[tex] = 35 + 7m - 8 \\ = 27 + 7m[/tex]

(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

(6x - 5y + 4) dy = (2x - y + 1) dx

dy/dx = (2x - y + 1) / (6x - 5y + 4)

Let X = x - a and Y = y - b. We want to find constants a and b such that

dY/dX = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)

Then we solve for a and b in the system,

2a - b + 1 = 0

6a - 5b + 4 = 0

==>   a = -1/4 and b = 1/2

With these constants, the equation reduces to

dY/dX = (2X - Y) / (6X - 5Y)

Now substitute Y = VX and dY/dX = X dV/dX + V :

X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

X dV/dX + V = (2 - V) / (6 - 5V)

X dV/dX = (2 - V) / (6 - 5V) - V

X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)

X dV/dX = (4V - 4) / (6 - 5V)

- (5V - 6) / (4V - 4) dV = 1/X dX

Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

-5V + ln|V - 1| = 4 ln|X| + C

Get this back in terms of Y :

-5Y/X + ln|Y/X - 1| = 4 ln|X| + C

Now get the solution in terms of y and x :

-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C

9514 1404 393

Answer:

  0

Step-by-step explanation:

Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)

Answer:

25

Step-by-step explanation:

6*7-3^2*9+4^3

Exponents first

6*7-9*9+64

Multiply and divide from left to right

42 -9*9+64

42 - 81 +64

Add and subtract from left to right

-39 +64

25

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6\times7-3^2\times9+4^3 }}\\\huge\boxed{\mathsf{= 42 - (9)(9) + 4^3}}\\\huge\boxed{\mathsf{= 42 - 81 + 64}}\\\huge\boxed{\mathsf{= -39 + 64}}\\\huge\boxed{\mathsf{= 25}}}}\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

the number of pink would be 112 because 224 divided by 2 is 112 then the red and white are 56 cuz 112 divided by 2 is 56

Step-by-step explanation:

Answer:

a is the answer I'm 1000% sure

Step-by-step explanation:

No of Student in Debre Berhan University - 80 students

No of students good in mathematics and English -15

no of student good in mathematics -45+15+13

therefore no of student good in math is 75 .

pls mark me branilest

Answer:

31

Step-by-step explanation:

You divide, 372 divided by 12

the actual number of vans needed is 31 vans to accommodate the entire camp. To estimate the number of vans needed to accommodate the entire camp, we can use the concept of rounding up to the nearest whole number.

The number of vans required will be the total number of campers divided by the capacity of each van (12 passengers), rounded up to the nearest whole number.

Estimate:

Number of vans needed =[tex]\(\frac{372}{12}\)[/tex](rounded up to the nearest whole number)

[tex]\(\frac{372}{12} \approx 31\)[/tex]

So, the estimate suggests that around 31 vans will be needed to accommodate the entire camp.

To calculate the actual number of vans needed, we can use the exact division without rounding up.

Actual number:

Number of vans needed = [tex]\(\frac{372}{12} = 31\)[/tex] vans

Thus, the actual number of vans needed is 31 vans to accommodate the entire camp.

To know more about number :

https://brainly.com/question/3589540

#SPJ3

9514 1404 393

Answer:

  y -2 = 1/4(x +3)

Step-by-step explanation:

Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.

__

The slope of the given line can be found as the ratio of rise to run between the marked points.

  m = rise/run = -8/2 = -4 . . . . counting grid squares

The desired line has a slope that is the opposite reciprocal of this:

  m' = -1/m = -1/-4 = 1/4

The point-slope equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Then the desired line with slope 1/4 through point (-3, 2) has equation ...

  y -2 = 1/4(x +3)

9514 1404 393

Answer:

Step-by-step explanation:

If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...

  P -3/5P = 40 in

  2/5P = 40 in

  P = (5/2)(40 in) = 100 in

  3/5P = 3/5(100 in) = 60 in

The smaller triangle perimeter is 60 in; the larger is 100 in.

Answer:

3 tenths +4 tenths: 7 tenths

Step-by-step explanation:

2+1 :3

so

3+4:7

Answer:

-19

Step-by-step explanation:

g(x)=−3x−4

Let x = 5

g(5)=−3*5−4

Multiply

   = -15-4

   = -19

[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]

Hope it help you

Answer:

4/13 very identifies what Jaxson did wrong.

Step-by-step explanation:

The addition of the whole number part of the fraction was well done that is (8+7)

What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.

Step-by-step explanation:

how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice

Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!

--------percent ---------------- quantity

Orange juice 20 ---------------- 20 gal

Orange juice 80 ---------------- x gal

Mixture 50 ---------------- 20 + x gal

20 * 20 + 80 x = 50 ( 20 + x )

400 + 80 x = 1000 + 50 x

80 x + -50 x = 1000 - -400

30 x = 600

/ 30

x = 20

20 gal of 80 % Orange juice

Answer:

Step-by-step explanation:

$211000 are 100% - 58% = 42% of the (former) income.

Therefore, 1% is 42 times less: 211000/42 = 5023.81,

and the (former) income was 100 times this value, i.e. GHC 502381.

9514 1404 393

Answer:

Step-by-step explanation:

a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...

  B = -22

  L = 0

  F = 18

Your inequality could be either of ...

  B < L

  -22 < 0

__

b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.

  distance = |B -L| = |-22 -0| = |-22| = 22

__

c. The distance from the lobby to the first floor is |18 -0| = 18.

The distance from the lobby to the basement is |-22-0| = 22.

The distance 22 is greater than the distance 18, so the distance to the basement is greater.

_____

Additional comment

The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.

Answer:

x=0

Step-by-step explanation:

0+4=4

4x2=8

it's pretty simple once you get the hang of it